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Proof step 104 from proof leninv-succ (previous step)

# nσ = ⌜m1⌝ + ⌜1⌝ , stutf(nσ) ⊦ (∃ m. ¬ m1 < m ∧ nσ[m] = nσ[m1]) ∧ ((m ≠ 0 → ¬ m1 < m0 ∧ nσ[m0] = m - 1) → ¬ nσ[m1] + 1 < m)

User applied rule case distinction

And obtained the following new goals

Proof step 105:
# nσ = ⌜m1⌝ + ⌜1⌝ , stutf(nσ) ⊦ ∃ m. ¬ m1 < m ∧ nσ[m] = nσ[m1]
Proof step 106:
# nσ = ⌜m1⌝ + ⌜1⌝ , stutf(nσ) ⊦ (m ≠ 0 → ¬ m1 < m0 ∧ nσ[m0] = m - 1) → ¬ nσ[m1] + 1 < m

Rule argument

pos: right 1

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